G( - 3 ) = 8 * ( - 3 ) + 2 = -24 + 3 = - 21 ;
( fog )(-3) = f( g(-3) ) = f( - 21 ) = 6 * ( -21 ) + 7 = - 126 + 7 = - 119
Answer:
16
notice how a right triangle was formed, and the Pythagorean theorem could be used to solve this :
a^2 + b^2 = c^2
a^2 + 15^2 = 17^2
a^2 + 225 = 289
a^2 = 64
a= 8
multiply it by 2 to get the side of the base
8 * 2 = 16
Answer: (24,-9)
(0,9)
(4,6)
Step-by-step explanation:
3x + 4y = 36
Using (3,-2) will be:
= 3(3) + 4(-2)
= 9 - 8 = 1
Using (1,7) will be
= 3(1) + 4(7)
= 3 + 28 = 31
Using (0,0) equals to 0
Using (24,-9) will be:
= 3(24) +4( -9)
= 72 - 36 = 36
Using (0,9) will be:
= 3(0) + 4(9)
= 0 + 36 = 36
Using (4,6) will be:
3(4) + 4(6)
= 12 + 24
= 36
Using (-12,18) will be:
= 3(-12) + 4(-18)
= -36 - 72
= -108
The correct options are (24,-9), (0,9 and (4,6)
Answer:
Area = 16π
Step-by-step explanation:
Area of a circle = πr^2
= 64π
= sqrt64
r = 8 because 8 × 8 is 64
Radius = 8
Now, use the circumference equation:
= 2πr
= 2π(8)
= 16π
m = -1
-5 = 8m + 12/4
-5 - 12/4 = 8m
4(-5) - (12/4) = 4(8m)
*to remove the denominator, multiply each figure by 4.
-20 -12 = 32m
-32 = 32m
-32/32 = 32m/32
-1 = m
m = -1
To check:
-5 = 8m + 12/4
-5 = 8(-1) + 3
-5 = -8 + 3
-5 = -5
